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Extending the velocity-dependent one-scale model for domain walls

Martins, C.J.A.P.; Rybak, I. Yu; Avgoustidis, Anastasios; Shellard, E.P.S.

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C.J.A.P. Martins

I. Yu Rybak

E.P.S. Shellard


We report on an extensive study of the evolution of domain wall networks in Friedmann-Lemaˆıtre- Robertson-Walker universes by means of the largest currently available field-theory simulations. These simulations were done in 40963 boxes and for a range of different fixed expansion rates, as well as for the transition between the radiation and matter eras. A detailed comparison with the velocity-dependent one-scale (VOS) model shows that this cannot accurately reproduce the results of the entire range of simulated regimes if one assumes that the phenomenological energy loss and momentum parameters are constants. We therefore discuss how a more accurate modeling of these parameters can be done, specifically by introducing an additional mechanism of energy loss (scalar radiation, which is particularly relevant for regimes with relatively little damping) and a modified momentum parameter which is a function of velocity (in analogy to what was previously done for cosmic strings). We finally show that this extended model, appropriately calibrated, provides an accurate fit to our simulations.


Martins, C., Rybak, I. Y., Avgoustidis, A., & Shellard, E. (2016). Extending the velocity-dependent one-scale model for domain walls. Physical Review D - Particles, Fields, Gravitation and Cosmology, 93(4), Article 043534.

Journal Article Type Article
Acceptance Date Feb 3, 2016
Publication Date Feb 17, 2016
Deposit Date Aug 2, 2016
Publicly Available Date Aug 2, 2016
Journal Physical Review D
Print ISSN 1550-7998
Electronic ISSN 1550-2368
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 93
Issue 4
Article Number 043534
Public URL
Publisher URL
Additional Information C. J. A. P. Martins, I. Yu. Rybak, A. Avgoustidis and E. P. S. Shellard "Extending the velocity-dependent one-scale model for domain walls" Physical Review D 93 (4) (2016) DOI: 10.1103/PhysRevD.93.043534
Contract Date Aug 2, 2016


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